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Simplifying 6xy + 2y2 + -4xy + 6y2 = 0 Reorder the terms: 6xy + -4xy + 2y2 + 6y2 = 0 Combine like terms: 6xy + -4xy = 2xy 2xy + 2y2 + 6y2 = 0 Combine like terms: 2y2 + 6y2 = 8y2 2xy + 8y2 = 0 Solving 2xy + 8y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. 2xy + 8y2 + -8y2 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 2xy + 0 = 0 + -8y2 2xy = 0 + -8y2 Remove the zero: 2xy = -8y2 Divide each side by '2y'. x = -4y Simplifying x = -4y
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